Insert a rational number and an irrational number between the following: $\frac{1}{3}$ and $\frac{1}{2}$

(N/A) To find a rational number between $\frac{1}{3}$ and $\frac{1}{2}$,we can express them with a common denominator:
$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$ and $\frac{1}{2} = \frac{1 \times 6}{2 \times 6} = \frac{6}{12}$.
Since $\frac{4}{12} < \frac{5}{12} < \frac{6}{12}$,the rational number $\frac{5}{12}$ lies between $\frac{1}{3}$ and $\frac{1}{2}$.
To find an irrational number,we convert the fractions to decimal form:
$\frac{1}{3} = 0.3333\ldots$ and $\frac{1}{2} = 0.5$.
An irrational number is a non-terminating and non-recurring decimal. We can choose a number like $0.414114111\ldots$,which is greater than $0.3333\ldots$ and less than $0.5$.